Question

Suma y Resta de Polinomios
(-3/4 a^2 b-6b^2+2a^3-1/2 ab^2 )-(1/3 a^3-2b^3+1/3 a^2 b-ab^2 )​

Answer 1

Respuesta:

(-3/4 a^2 b-6b^2+2a^3-1/2 ab^2 )-(1/3 a^3-2b^3+1/3 a^2 b-ab^2 )​

$\left(-\frac{3}{4}a^2b-6b^2+2a^3-\frac{1}{2}ab^2\right)-\left(\frac{1}{3}a^3-2b^3+\frac{1}{3}a^2b-ab^2\right)\\\\\\=-\frac{3}{4}a^2b-6b^2+2a^3-\frac{1}{2}ab^2-\left(\frac{1}{3}a^3-2b^3+\frac{1}{3}a^2b-ab^2\right)\\\\\\=-\frac{3a^2b}{4}-6b^2+2a^3-\frac{ab^2}{2}-\left(-2b^3-ab^2+\frac{a^3+a^2b}{3}\right)\\\\\\=-\frac{3a^2b}{4}-6b^2+2a^3-\frac{ab^2}{2}-\frac{a^3+a^2b}{3}+2b^3+ab^2\\\\\\=\frac{20a^3-13a^2b+6ab^2+24b^3-72b^2}{12}$